Novel solutions of the Helmholtz equation and their application to diffraction

DOI10.1098/rspa.2006.1809zbMath1132.35027OpenAlexW2134450310MaRDI QIDQ5443760

Bair V. Budaev, David B. Bogy

Publication date: 22 February 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2006.1809

zbMATH Keywords

wave propagationstochastic processdiffraction

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (3)

A Monte Carlo method for solving the one-dimensional telegraph equations with boundary conditions ⋮ A compact fourth order scheme for the Helmholtz equation in polar coordinates ⋮ A novel stochastic method for the solution of direct and inverse exterior elliptic problems

Cites Work

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• Diffraction by a convex polygon with side-wise constant impedance
• Solution of three-dimensional problems of the theory of elasticity using the Monte Carlo method
• Higher-order implicit strong numerical schemes for stochastic differential equations
• A Monte Carlo solution method for linear elasticity
• Random walk method for the two‐ and three‐dimensional Laplace, Poisson and Helmholtz's equations
• Diffraction by a plane sector
• Probabilistic Theory of Transport Processes with Polarization
• Two-dimensional diffraction by a wedge with impedance boundary conditions
• Two-dimensional Brownian motion and harmonic functions

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